This review summarizes fundamental results and discoveries concerning vortex-induced vibration (VIV), that have been made over the last two decades, many of which are related to the push to explore very low mass and damping, and to new computational and experimental techniques that were hitherto not available. We bring together new concepts and phenomena generic to VIV systems, and pay special attention to the vortex dynamics and energy transfer that give rise to modes of vibration, the importance of mass and damping, the concept of a critical mass, the relationship between force and vorticity, and the concept of "effective elasticity," among other points. We present new vortex wake modes, generally in the framework of a map of vortex modes compiled from forced vibration studies, some of which cause free vibration. Some discussion focuses on topics of current debate, such as the decomposition of force, the relevance of the paradigm flow of an elastically mounted cylinder to more complex systems, and the relationship between forced and free vibration.

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Vortex-induced vibrations

An overview of modeling and experiments of vortex-induced vibration of circular cylinders

Benchmark spectral results on the lid-driven cavity flow

An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries

A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations

A numerical simulation of vortex shedding from an oscillating circular cylinder

An interface capturing method for free-surface hydrodynamic flows

Numerical simulation of vortex-induced vibration of a circular cylinder with low mass-damping in a turbulent flow

The simulation of viscous free-surface water flow is a subject that has reached a certain maturity and is nowadays used in industrial applications, like the simulation of the flow around ships. While almost all methods used are based on the Navier-Stokes equations, the discretisation methods for the water surface differ widely. Many of these highly different methods are being used with success. We review three of these methods, by describing in detail their implementation in one particular code that is being used in industrial practice. The descriptions concern the principle of the method, numerical details, and the method’s strengths and limitations. For each code, examples are given of its use. Finally, the methods are compared to determine the best field of application for each. The following surface descretisation methods are reviewed. First, surface fitting/mesh deformation in PARNASSOS, developed by MARIN; the description focuses on the efficient steady-state solution method of this code. Then surface capturing with Volume-of-Fluid in ISIS-CFD, developed by CNRS/Ecole Centrale de Nantes; the main topic of this review are the compressive flux discretisation schemes for the volume fraction that are used in this code. And finally, the Level Set method in SURF, developed by NMRI; this description contains a modified formulation of the Level Set method that is optimised for ship flow computation.

/pdf/free-surface-viscous-flow-solution-methods-for-ship-59oxeyroea.pdf

Patrick Queutey

Papers

A numerical simulation of vortex shedding from an oscillating circular cylinder

An interface capturing method for free-surface hydrodynamic flows

Numerical simulation of vortex-induced vibration of a circular cylinder with low mass-damping in a turbulent flow

Free-Surface Viscous Flow Solution Methods for Ship Hydrodynamics

Assessment of hybrid RANS-LES formulations for flow simulation around the Ahmed body